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A183318 Number of nX6 binary arrays with an element zero only if there are an even number of ones to its left and an even number of ones above it.

%I A183318 #7 Jul 22 2025 08:48:54
%S A183318 21,119,1109,7833,61755,455509,3437801,25528515,190243099,1412491505,
%T A183318 10484413673,77772795145,576515430247,4273815283079,31666450138863,
%U A183318 234664439146089,1738444321229885,12880327740810545,95414952005019587
%N A183318 Number of nX6 binary arrays with an element zero only if there are an even number of ones to its left and an even number of ones above it.
%C A183318 Column 6 of A183322
%H A183318 R. H. Hardin, <a href="/A183318/b183318.txt">Table of n, a(n) for n = 1..200</a>
%F A183318 Empirical: a(n)=a(n-1)+155*a(n-2)-83*a(n-3)-10499*a(n-4)+2739*a(n-5)+418493*a(n-6)-42935*a(n-7)-11114743*a(n-8)+187159*a(n-9)+210582515*a(n-10)+4942581*a(n-11)-2969847775*a(n-12)-106170955*a(n-13)+32076857369*a(n-14)+1009462397*a(n-15)-270649716999*a(n-16)-4937331775*a(n-17)+1809326210403*a(n-18)+1914644979*a(n-19)-9680756335999*a(n-20)+163670254649*a(n-21)+41751512005591*a(n-22)-1408662580253*a(n-23)-145837266421261*a(n-24)+7057415803719*a(n-25)+413726670171893*a(n-26)-24987326051091*a(n-27)-954307354257023*a(n-28)+66458580117683*a(n-29)+1789004571454345*a(n-30)-136365538707579*a(n-31)-2720716316400381*a(n-32)+218575487621235*a(n-33)+3345872171110277*a(n-34)-274993070105947*a(n-35)-3312136548981459*a(n-36)+271453232272799*a(n-37)+2623620146984753*a(n-38)-209286828757487*a(n-39)-1650724693067001*a(n-40)+124964898554049*a(n-41)+817527401509143*a(n-42)-57057707865601*a(n-43)-315201100152543*a(n-44)+19563658984353*a(n-45)+93322287344023*a(n-46)-4906758788153*a(n-47)-20850409285435*a(n-48)+864282086203*a(n-49)+3434976022529*a(n-50)-99411558905*a(n-51)-404036952399*a(n-52)+6269911051*a(n-53)+32355800903*a(n-54)-65276327*a(n-55)-1635520523*a(n-56)-16406321*a(n-57)+45651461*a(n-58)+790773*a(n-59)-534995*a(n-60)-5413*a(n-61)+1739*a(n-62)-a(n-63)-a(n-64)
%e A183318 Some solutions for 5X6
%e A183318 ..0..0..0..0..0..1....0..0..1..1..0..0....0..0..0..1..1..1....0..0..0..1..1..0
%e A183318 ..0..1..1..0..0..1....1..1..1..1..1..1....0..0..0..1..1..1....0..1..1..1..1..1
%e A183318 ..0..1..1..0..0..1....1..1..0..1..1..1....0..0..0..0..0..0....1..1..1..1..0..1
%e A183318 ..0..0..0..0..0..1....0..0..1..1..0..0....0..1..1..1..1..0....1..1..1..1..0..0
%e A183318 ..1..1..0..0..0..1....1..1..1..1..0..1....0..1..1..1..1..0....0..1..1..0..0..1
%K A183318 nonn
%O A183318 1,1
%A A183318 _R. H. Hardin_ Jan 03 2011